polar graphs

rose curve

r = a * cos/sin (n theta)

n >1

if n is odd, then number of petals = n

if n is even, then number of petals = 2n

limacon curve inner loop

r = a±b cos/sin(theta)

a/b <1

limacon curve (cardoid)

r = a±b cos/sin(theta)

a/b = 1

limacon curve dimpled

r = a±b cos/sin(theta)

1 < a/b < 2

limacon curve convex

r = a±b cos/sin(theta)

a/b >= 2

spiral

r= a* theta

lemniscate curve

r^2 = a^2 sin/cos (2 theta)